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Integral equations of plane static boundary value problems in the moment elasticity theory of inhomogeneous isotropic media

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Abstract

Boundary value problems in the plane moment and simplified moment elasticity theory of inhomogeneous isotropic media are reduced to Riemann-Hilbert boundary value problems for a quasianalytic vector. Uniquely solvable integral equations over a domain are derived. As a result, weak solutions for composite inhomogeneous elastic media can be determined straightforwardly.

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Authors and Affiliations

  1. Institute of Mathematics, Ministry for Education and Science of Kazakhstan, ul. Pushkina 125, Almaty, 050010, Kazakhstan

    N. I. Martynov

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  1. N. I. Martynov
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Correspondence to N. I. Martynov.

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Original Russian Text © N.I. Martynov, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 11, pp. 1793–1805.

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Martynov, N.I. Integral equations of plane static boundary value problems in the moment elasticity theory of inhomogeneous isotropic media. Comput. Math. and Math. Phys. 54, 1725–1736 (2014). https://doi.org/10.1134/S0965542514110098

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  • DOI: https://doi.org/10.1134/S0965542514110098

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